A company uses two vans to transport
workers from a free parking lot to the
workplace between 7:00 and 9:00 a.m.
One van has 6 more seats than the other.
The smaller van makes two trips every
morning while the larger one makes only
one trip. The two vans can transport 57
people, maximum.
How many seats does the larger van have?

Answers

Answer 1
x is the seats in the small van.

y is the seats in the large van = (x + 6). Since the large has 6 more seats.

Since the 2 vans can transport 57 people.

Small van makes 2 trips = 2x.

Large van makes one trip = (x + 6).

2x + (x +6) = 57

2x + x + 6 = 57

3x + 6 = 57

3x = 57 -6

3x = 51

x = 51/3

x = 17.

The larger van has (x + 6) = (17 + 6) = 23.

The larger van has 23 seats.
Answer 2

Answer:

The larger van has 23 seats

Step-by-step explanation:

Create a system of Equations:

1. Define variables.

> let x=small van and y=larger van

2. create 2 equations based on the information given.

> y = 6 + x

> 2x + y = 57

3. Use any method to solve

Substitution: 2x + (6 + x) = 57. x=17

                      now plug x in to the original equation to solve for y (the larger van)

                      y = 6 + 17 and y = 23

Elimination: 2y = 12 + 2x

                     y = 57 - 2x

         3y = 69  and y = 23


Related Questions

please help me on this asap

Answers

Im pretty sure its B.

the probability of spinning a 4 and a C is 1/4 x 1/3 = 1/12

predict how often "4" and "c" will occur after spinning both spinners 240 times

Answers

Answer:

[tex] \frac{1}{12} \times 240 = 20 \: times[/tex]

hi here is the answer, please give brainly I've been helping you

Answer:

Step-by-step explanation:

20 times

Finish solving the system of equations.

x – 5y = 6

–x + 2y = –3

–3y = 3

What is the value of y?


Substitute the value of y back into one of the original equations to find the value of x. What is the value of x?

Answers

Answers:  x = 1 and y = -1

Explanation:

Start where your teacher left off, which is -3y = 3.

We solve for y by dividing both sides by -3

That turns -3y = 3 into y = -1

Then we use this y value to find x

x - 5y = 6

x - 5(-1) = 6

x + 5 = 6

x = 6-5

x = 1

The solution is (x,y) = (1, -1)

Answer:

-1,1

Step-by-step explanation:

Which expression is equivalent to this polynomial?
16x2 + 4
A.
(4x + 2i)(4x − 2i)
B.
(4x + 2)(4x − 2)
C.
(4x + 2)2
D.
(4x − 2i)2

Answers

Answer:

A.

Step-by-step explanation:

C and D do not create any x² terms when doing the multiplications. so, they are out.

B stands for (a+b)×(a-b) = a² - b².

so, that would give us a "-4" at the end and is not fitting to the "+4" term at the end of the original expression.

that leaves us with A.

let's verify :

(4x+2i)(4x-2i)

it follows the same rule as B :

(a+b)(a-b) = a² - b²

a = 4x

b = 2i

you remember, i = sqrt(-1).

so, we get

(4x)² - (2i)² = 16x² - 4×(sqrt(-1))² = 16x² - 4×(-1) = 16x²+4

bingo !

Answer:

Step-by-step explanation:

the answer is A

The two triangles below are congruent. Which of the following are congruent by CPCTC?

Answers

Answer:

B.

Step-by-step explanation:

If you put the second triangle upright then turn it over (as if you were flipping a pancake). That would make B equal to R.

C would equal S

A would equal T

and

B would equal R

Answer:

b = R,  mark me brainiest cause we besties

Step-by-step explanation:

What is the product of 3/5 and 25. Is the product more or less than 14? Explain your answer in complete sentences.
(3/5 is a fraction Not Disvison )

Answers

Answer:

15, The answer is greater than 14 because when you multiply the 2 fractions you get a number that is greater than 15

Step 1: Set up equation

[tex]\frac{25}{1}*\frac{3}{5}[/tex]

Step 2: Cross reduce

you can cross reduce 25 and 5 because they are both share a common divisor

[tex]\frac{5}{1} *\frac{3}{1}[/tex]

Step 3: Multiply numerator and denominator together

[tex]\frac{15}{1}[/tex]

Final Answer:

15

The answer is greater than 14 because when you multiply the 2 fractions you get a number that is greater than 15

what rule changes input to output numbers

Answers

Answer:

C. 3x - 5

Step-by-step explanation:

The inputs are the values of x and the outputs are the values of y.

checking all options by placing any output as x and seeing if it gives the same output as in the table.

All options except C do not give the same output as in the table (ill show the working for option C you can do for yourself the rest ^^")

Let's take x = 4

placing it in 3x - 5

output (y) = 3(4) - 5

= 12 - 5

= 7

same as the output given in the table so the answer is C.

Fill in the missing numbers.
0, 1, 5 ,4 ,...., 12 ,.....​

Answers

Answer:

the answer is 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14, etc........

0,1,2,3.... is a whole number

1,2,3,4.......is a natural number

Solve |x +6| – 7 = 8.

Answers

Answer:

[tex](x + 6) - 7 = 8[/tex]

[tex]x + 6 - 7 = 8[/tex]

[tex]x - 1 = 8[/tex]

[tex]x = 8 + 1[/tex]

[tex]x = 9[/tex]

The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of $221 per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company $4900. Suppose for each ToughPix1 there is a 3% chance that it will need to be replaced exactly once, a 2% chance that it will need to be replaced exactly twice, and a 95% chance that it will not need to be replaced.

Answers

Answer:

Brad & Matthew can expect to lose money from selling these cameras of -$122

Step-by-step explanation:

Calculation to determine if it should expect to make or lose money from selling them and How much?

First step is to calculate the expected costs

Expected costs= (0.03* $4900 ) + (0.02* $4900 * 2)

Expected costs=$147+$196

Expected costs=$343

Now let determine the amount of profit or Loss that the company will be making in the long-run on each camera sold

Expected Profit or loss =($221-$343)

Expected Profit or loss =-$122

Therefore it Should expect to LOSE money from selling them of the amount of -$122

Instructions. Find the Area Of the square




Wrong answer Report

Right answer Heart​

Answers

Question:

Find the Area Of the square.

Answer:

19.ans> Given,

Side = 9 m

To,find: Area

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 9×9

We,know that,area of the square is = (side)² = 9×9 = 81 m

20.ans> Given,

Side= 7 cm

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 7 × 7

= 49 cm

Hope it helps you

Bye

The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimensions of the rectangle.
a
length = 18 cm; width = 5 cm
b
length = 5 cm; width = 18 cm
c
length = 13 cm; width = 5 cm
d
length = 13 cm; width = 8 cm

Answers

Answer:

a.

Step-by-step explanation:

Select the equivalent expression.
(6-4.8-7)+"=?

Answers

6-4 is 2,8-7 is 1 2x1 is 2

In the diagram below, OP is circumscribed about quadrilateral ABCD. what is the value of x?

Answers

Answer:  B) 50 degrees

This is because the opposite angles of any inscribed quadrilateral (aka cyclic quadrilateral) are always supplementary. So x+130 = 180 solves to x = 50.

If OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.

What is Quadrilateral?

A quadrilateral is a four-sided polygon, having four edges and four corners.

A quadrilateral is inscribed insider a circle with centre p.

ABCD is a quadrilateral

We have to find the value of x.

As we know that the sum of the opposite side measures is 180 degrees.

m∠A + m∠C = 180

x + 130 =180

Subtract 130 from both sides

x = 180-130

x= 50 degrees.

Hence, if OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.

To learn more on Quadrilateral click:

https://brainly.com/question/29934440

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Find the value of n.
PLEASE HELP ASAP!

Answers

Answer:

d .9

Step-by-step explanation:

n^2-3 = 2×39 (line joining midpoints is half of third line )

n^2 = 78+3

n^2 =81

n =9

4x+7=15x-1-3x
Solve for x plss

Answers

Answer: x=1

Step-by-step explanation:

4x-12x=-1-7

-8x=-8

HURRY I NEED HELP. ASAP.

What are the coordinates of the quadrilateral STUV when reflected over the X-axis.

S(3,4), T(3,1), U(-2,1, V(-2,4)​

Answers

Step-by-step explanation:

here is the answer friend

Michelle did a survey in four butterfly parks and wrote the following observations:

Answers

Answer:

A. 55%

Step-by-step explanation:

First we should make these into fractions

A. 33/60

B. 36/78

C. 40/89

D. 24/59

these are the fractions, The question wants us to pick the Park with the Greatest Percentage, Not The Greatest Amount, so Lets look at these fractions A. 33/60 Is 55%   B. 36/78 is  46% .   C. 40/89 is 44%   D. 24/59 is about 40%

I also remember doing this on a quiz!!

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

15.4

Step-by-step explanation:

sin 17° = 4.5 /x

x = 4.5 / sin 17° = 4.5 /0.2924

= 15.4

The value of the variable 'x' using the sine formula will be 15.4 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the sine of the angle ∠GIH. And the sine of an angle is the ratio of the normal and hypotenuse of the right-angle triangle. Then we have

sin 17° = 4.5 / x

x = 15.4

The value of the variable 'x' using the sine formula will be 15.4 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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If AABC IS REFLECTED across the y axis what are the coordinates of A

Answers

Answer:

A. (-1, 3)

Step-by-step explanation:

When reflecting across the y-axis: (x, y) ⇒ (-x, y).

Therefore, A(1, 3) ⇒ A'(-1, 3).

Please decide !!!!!!

Answers

A + B + C = 13

Starting from the top and going horizontally the missing numbers are:
18, 3, 1, 9, 7, 6, 2, 8, 16, 4, 15, 10

The sum of 1+2+3+...+18+19 = 190
There are 5 vertical lines (3,4,5,4,3 in each) so each line has to add to 190 / 5 = 38

Factorise 2ab+2ac. Please

Answers

Answer:

2a(b+c)

Step-by-step explanation:

Find HCF (2a)

Then factorise

Answer:

2a(b+c)

.............

need an answe asap! ​

Answers

Answer:

1. x = 54, y = 114,

missing angles => 66° and 114°

2. x = 42, y = 14,

Missing angles => 84°, 86°

3. x = 40, y = 50

Missing angles => 105°, 75°

Step-by-step explanation:

1. y° = 114° (corresponding angles are congruent)

(x + 12)° + y° = 180° (linear pair angles)

Substitute

x + 12 + 114 = 180

x + 126 = 180

Subtract 126 from each side

x = 180 - 126

x = 54

✔️Find the missing angles by plugging in the values of x and y in each case

(x + 12)° = 54 + 12 = 66°

y = 114°

2. ✔️Find x:

(2x)° + 96° = 180° (consecutive interior angles are supplementary)

Subtract 96 from each side

2x = 180 - 96

2x = 84

x = 84/2

x = 42

✔️Find y:

(3y + 44)° + 94° = 180° (consecutive interior angles are supplementary)

3y + 44 + 94 = 180

3y + 138 = 180

3y = 180 - 138

3y = 42

y = 42/3

y = 14

✔️Missing angles:

(2x)°

Plug in the value of x

= 2(42) = 84°

(3y + 44)°

Plug in the value of y

3(14) + 44 = 86°

3.

✔️Find x:

3x - 15 = 105 (corresponding angles are congruent)

3x = 105 + 15

3x = 120

x = 120/3

x = 40

✔️Find y:

(3x - 15)° + (y + 25)° = 180° (linear pair angles are supplementary)

Plug in the value of x to solve for y

3(40) - 15 + y + 25 = 180

120 - 15 + y + 25 = 180

Add like terms

130 + y = 180

y = 180 - 130

y = 50

✔️Missing angles:

(3x - 15)°

Plug in the value of x

3(40) - 15 = 105°

(y + 25)°

Plug in the value of y

50 + 25 = 75°

Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121

Answers

Answer:

La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:

(x - a)^2 + (x - b)^2 = R^2

Entonces si miramos a nuestra ecuación:

(x + 2)^2 + (y - 3)^2 = 121

Tendremos el centro en:

(-2, 3)

el radio está dado por:

R^2 = 121

R = √121 = 11

La gráfica de esta circunferencia se puede ver en la imagen de abajo.

A study was conducted that showed strong positive correlation between eating strawberries and the number of freckles on a person's face. Can we say that eating strawberries causes freckles? Explain. Hint: Think about what causes freckles to be more visible. Name a lurking variable for this situation.

Answers

Answer:

No

Step-by-step explanation:

No we cannot say that eating strawberries causes freckles. The question says that the study showed a strong positive correlation. The answer is no because a positive correlation does not mean that there is a causation. When two things are said to correlate, it does not mean that one causes the other, correlation between two things could be as a result of another third variable that affects the both of them. The lurking variable here is going to be sunlight. this is because sunlight exposure affects both variables by causing increases  in the growth of strawberries and freckles.

The answer to whether eating strawberries causes freckles is; No, it doesn't cause freckles

What is a lurking variable?

A lurking variable is an explanatory variable that was not considered in a​ study, but yet affects the value of the response variable in the study.

In this question, the lurking variable is going to be sunlight due to the fact that sunlight exposure affects both variables by causing increase in the growth of strawberries and freckles.

Thus, we can conclude that there is no way we can say that eating strawberries causes freckles due to the fact that a positive correlation does not mean that there is a causation.

Read more about Lurking variables at; https://brainly.com/question/14289293

According to Class 8 please solve

Answers

Answer:

a) Rs 22

b) 4 liter

hope it helps

Answer:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

Step-by-step explanation:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

11/2 litre = 5.5 litre

RS 121/2 = 60.5

5.5 litre milk = Rs 60.5

(i) 1 lire milk = 60.5/5.5 = 11

(i)  1 litre milk rate is Rs 11

(ii) 1 litre  = Rs 11      , Rs 88 = 88/11 litre        , 8 litre

(i) part answer   = Rs 11

(ii) part Answer = 8 litre milk

Which of the following inequalities matches the graph?

Answers

Answer:

second one

Step-by-step explanation:

just read where the purple line finishes on the x axis, in this case it’s 5 so it’s greater than 5 or equal to it.

please help a and b

Answers

Answer:

a=144.15

median=157.5

For what value of k will (k – 5)x²+ 2ky²-5x + 6y – 3 = 0 represents a circle? (

Answers

Answer:

This isn't going to be a circle even if we choose k to be -5.

I think there has to be an error in the question.

Step-by-step explanation:

We want the coefficient of x^2 and y^2 to be the same so we will want to solve:

k-5=2k

Subtract k on both sides:

-5=k

You should verify it will give a circle.

(k – 5)x²+ 2ky²-5x + 6y – 3 = 0 with k=-5:

(-5– 5)x²+ 2*-5y²-5x + 6y – 3 = 0

-10x²+ -10y²-5x + 6y – 3 = 0

Add 3 on both sides:

-10x²+ -10y²-5x + 6y = 3

Divide both sides by -10:

x²+ y²+5/10x -6/10y = -3/10

Gather the x's together and gather the y's together:

x²+5/10x+y²-6/10y = -3/10

We will begin to take steps to complete square for each the x part and the y part.

For each v^2+kv, add (k/2)^2 with goal to write as (x+k/2)^2. Remember whatever you do to one side you must do to the other.

x²+5/10x+(5/[2×10])^2+y²-6/10y+(-6/[2×10])^2 = -3/10+(5/[2×10])^2+(-6/[2×10])^2

Since radius square is not positive we can stop here. The radius has to be a real number after all. If you aren't convinced you can continue to write in center-radius form.

(x+1/4)²+(y-3/10)² = -3/10+1/16+9/100

(x+1/4)²+(y-3/10)² = -3/10+1/16+9/100

(x+1/4)²+(y-3/10)² = -59/400

Write a expression to represent each situation

Olivia bought 8 bags of fruit at the farmer's market. She put
a apples and b bananas in each bag.

Answers

Step-by-step explanation:

number of bags=8bags

which is the fruits=apples and bananas

total number of apples and bananas bag = 4 bag of each

a + b = 8

a is apples and b is bananas.
the total number of bags of fruit is 8

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